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TABLE 2 in ANNEXURE B shows the number of people employed at Motor Holdings (MH) in August 2020 and 2019 - NSC Mathematical Literacy - Question 3 - 2023 - Paper 1

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TABLE 2 in ANNEXURE B shows the number of people employed at Motor Holdings (MH) in August 2020 and 2019. In August 2020, the company had 41 motor dealerships and a... show full transcript

Worked Solution & Example Answer:TABLE 2 in ANNEXURE B shows the number of people employed at Motor Holdings (MH) in August 2020 and 2019 - NSC Mathematical Literacy - Question 3 - 2023 - Paper 1

Step 1

3.1.1 Write down the total number of semi-skilled workers employed by MH during August 2020.

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Answer

The total number of semi-skilled workers employed by MH during August 2020 is 537.

Step 2

3.1.2 Determine the difference in the total number of employees from August 2019 to August 2020.

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Answer

To determine the difference in total employees:

  • Total employees in August 2019: 2,163
  • Total employees in August 2020: 2,828

The difference is:

2,8282,163=6652,828 - 2,163 = 665

Thus, the difference in the total number of employees is 665.

Step 3

3.1.3 Determine the number of staff with disabilities employed in 2020 as a percentage of all the employees in 2020.

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Answer

The number of staff with disabilities in 2020 is given as:

  • Total employees in 2020: 2,163
  • Staff with disabilities: 34

To calculate the percentage:

ext{Percentage} = rac{34}{2,163} imes 100 = 1.572 ext{%}

Therefore, approximately 1.57% of the employees have disabilities.

Step 4

3.1.4 Calculate the average number of employees per dealership if 1.5% of the total number of employees worked at the head office in August 2020.

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Answer

To calculate the average number of employees per dealership:

  • Total employees in August 2020 = 2,163
  • Percentage at head office = 1.5%
  • Employees at head office = 1.5% of 2,163 = 32.445 (approximately 32)

Remaining employees across motor dealerships:

extEmployeesindealerships=2,16332=2,131 ext{Employees in dealerships} = 2,163 - 32 = 2,131

With 41 dealerships, the average per dealership is:

ext{Average} = rac{2,131}{41} = 51.95

Thus, the average number of employees per dealership is approximately 51.95.

Step 5

3.1.5 Determine (as a percentage rounded off to THREE decimal places) the probability of randomly choosing a coloured female from the list of employees in August 2020.

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Answer

To calculate the probability:

  • Total employees = 2,163
  • Coloured females = 54

The probability is:

ext{Probability} = rac{54}{2,163} imes 100 = 2.497 ext{%}

Rounded off to three decimal places, the probability is 2.497%.

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